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Re:几行代码就行

Posted by 1905220268 at 2009-04-07 22:20:38 on Problem 1218
In Reply To:Re:几行代码就行 Posted by:dang at 2009-03-21 00:01:54
> 
> 问你个问题,怎么证明完全平方数有奇数个相因数?
由整数的唯一分解定理知,任意一个数p=(p1^a1)*(p2^a2)....(pi^ai)  pi为素数,所以p的因子的个数为(a1+1)*(a2+1)...(ai+1)这个要为奇数那么ai就要是偶数,得证

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